829664910 has 64 divisors (see below), whose sum is σ = 2217153600. Its totient is φ = 220772736.

The previous prime is 829664881. The next prime is 829664917. The reversal of 829664910 is 19466928.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829664917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134412 + ... + 140448.

It is an arithmetic number, because the mean of its divisors is an integer number (34643025).

Almost surely, 2^829664910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829664910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1108576800).

829664910 is an abundant number, since it is smaller than the sum of its proper divisors (1387488690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829664910 is a wasteful number, since it uses less digits than its factorization.

829664910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6562 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 829664910 is about 28803.9044228382. The cubic root of 829664910 is about 939.6531502876.

The spelling of 829664910 in words is "eight hundred twenty-nine million, six hundred sixty-four thousand, nine hundred ten".